College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A flexible box contains 5.60 grams of nitrogen gas (N2) which is maintained at a
constant pressure of 1.35 x 10$ Pa. The box is placed over a fire, causing the
volume to increase from 0.00200 m3 to 0.00300 m³. Find the increase in
temperature of the gas.
(For N2 molar mass M = 28 grams.)
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Transcribed Image Text:A flexible box contains 5.60 grams of nitrogen gas (N2) which is maintained at a constant pressure of 1.35 x 10$ Pa. The box is placed over a fire, causing the volume to increase from 0.00200 m3 to 0.00300 m³. Find the increase in temperature of the gas. (For N2 molar mass M = 28 grams.)
Formulas:
Work done on a gas: Wgas
= - PAV
First Law of Thermodynamics: AU = Q+ W
Idea gas law: PV = nRT, thus, PAV = NRAT
Molar specific heat at constant volume: Cv : AU = nCvAt where n is moles
3
R for monatomic gasses,
2
5
R for diatomic gasses
2
The value of Cv is just:
5
R for monatomic gasses,
2
7
for diatomic gasses
2
The value of Cp is just:
Joules
Where R is the universal gas constant: R = 8.31
mole-Kelvin
Molar specific heat at constant pressure: Q = CPAT
CP
For adiabatic processes:
PVY = constant, where
Y
Cv
Work done at constant temperature:
W = -nRT In(
1
The First Law and Thermodynamic Processes (Ideal Gases)
Process
AU
Q
W
Isobaric
nC, AT
nC, AT
-P AV
Adiabatic
nC, AT
Δυ
Isovolumetric
nC, AT
AU
Isothermal
-W
-nRT In
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Transcribed Image Text:Formulas: Work done on a gas: Wgas = - PAV First Law of Thermodynamics: AU = Q+ W Idea gas law: PV = nRT, thus, PAV = NRAT Molar specific heat at constant volume: Cv : AU = nCvAt where n is moles 3 R for monatomic gasses, 2 5 R for diatomic gasses 2 The value of Cv is just: 5 R for monatomic gasses, 2 7 for diatomic gasses 2 The value of Cp is just: Joules Where R is the universal gas constant: R = 8.31 mole-Kelvin Molar specific heat at constant pressure: Q = CPAT CP For adiabatic processes: PVY = constant, where Y Cv Work done at constant temperature: W = -nRT In( 1 The First Law and Thermodynamic Processes (Ideal Gases) Process AU Q W Isobaric nC, AT nC, AT -P AV Adiabatic nC, AT Δυ Isovolumetric nC, AT AU Isothermal -W -nRT In
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